102001000010112 has 96 divisors (see below), whose sum is σ = 335449717321680. Its totient is φ = 29143142857728.

The previous prime is 102001000010087. The next prime is 102001000010123. The reversal of 102001000010112 is 211010000100201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102001000010094 and 102001000010103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6324458703 + ... + 6324474830.

Almost surely, 2^{102001000010112} is an apocalyptic number.

102001000010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102001000010112 is an abundant number, since it is smaller than the sum of its proper divisors (233448717311568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102001000010112 is a wasteful number, since it uses less digits than its factorization.

102001000010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12648933560 (or 12648933545 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102001000010112 its reverse (211010000100201), we get a palindrome (313011000110313).

The spelling of 102001000010112 in words is "one hundred two trillion, one billion, ten thousand, one hundred twelve".